A tank with a bottom cross-sectional area Bx Y is to be emptied by means of a pipe as shown in the figure below. It is obvious that as the tank drains, the height h decreases. Also, at the same time the velocity of flow in the pipe (hence Re) also decreases leading to a change in the friction factor. A design engineer wants you to use an average friction factor fav. Derive a formula for the time to empty the tank from an initial level h.. Water Pipe: LD.E Bottom = W by Y

A tank with a bottom cross-sectional area Bx Y is to be emptied by means of a pipe as shown in the figure below. It is obvious that as the tank drains, the height h decreases. Also, at the same time the velocity of flow in the pipe (hence Re) also decreases leading to a change in the friction factor. A design engineer wants you to use an average friction factor fav. Derive a formula for the time to empty the tank from an initial level h.. Water Pipe: LD.E Bottom = W by Y

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Example (1-6): A pumping plant forces water through a 600 mm diameter main, the friction head being 27 m. In order to reduce the power consumption, it is proposed to lay another main of appropriate diameter along the side of the existing one, so that the two pipes may work in parallel for the entire length and reduce the friction head to 9.6 m only. Find the diameter of the new main if with the exception of diameter, it is similar to the existing one in every respect.
a. derive Hagen-poiseuille equation from the friction factor given.
sollve both, show both solutions and steps for both problems
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I solved most of this but need some guidence towards the end after you have m flow rate and both h_2 and h_1.
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